evaluate ∫ c y d x y z d y ( y x ) d z ∫cydx yzdy (y x)dz where c c is the line segment from ( 1 , 1 , 1 ) (1,1,1) to ( 0 , 4 , 2 ) (0,4,2) .

Answers

Answer 1

The value of the given integral over the line segment c is -7/3.

What is line segment?

A connected, non-empty set is what a line segment is. A closed line segment is a closed set in V if V is a topological vector space. However, if and only if V is one-dimensional, an open line segment is an open set in V.

To evaluate the given integral over the line segment c from (1, 1, 1) to (0, 4, 2), we need to parameterize the line segment and then perform the integration.

Let's parameterize the line segment c:

x = t, where t ranges from 1 to 0,

y = 1 + 3t, where t ranges from 1 to 0,

z = 1 + t, where t ranges from 1 to 0.

Now, we can rewrite the integral in terms of the parameter t:

∫c y d x y z d y ( y x ) d z = ∫(t, 1 + 3t, 1 + t) (y / x) dz.

Next, we need to find the limits of integration for t, which correspond to the endpoints of the line segment c. From (1, 1, 1) to (0, 4, 2), we have t ranging from 1 to 0.

Now, let's perform the integration:

∫c y d x y z d y ( y x ) d z

= ∫(t=1 to 0) ∫(z=1+t to 1+3t) (1 + 3t) / t dz dt.

First, we integrate with respect to z:

= ∫(t=1 to 0) [(1 + 3t) / t] (z) |(1+3t to 1+t) dt

= ∫(t=1 to 0) [(1 + 3t) / t] [(1 + 3t) - (1 + t)] dt

= ∫(t=1 to 0) [2t(1 + 2t)] dt

= ∫(t=1 to 0) [2t + 4t²] dt

= [t² + (4/3)t³] |(1 to 0)

= 0 - (1² + (4/3)(1³))

= -1 - (4/3)

= -7/3.

Therefore, the value of the given integral over the line segment c is -7/3.

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Related Questions

10 to 9th power (inspired by mY FRIEND :)

Answers

Answer:

1000000000 is your answer

Just add 9 0's to the 1

Answer:

Hi........................

1) A Jet travels 520 miles in 2 hours. At this rate, how far could the jet fly in 13 hours? What is the rate of speed of the jet? ​

Answers

Answer:

\(Speed = \frac{distance}{time} = \frac{520}{2} =260miles \ per \ hour \\\\Distance = Speed * time = 260 * 13 = 3380miles\)

if f(x) equals 3X -2 what is f(5.9)

Answers

Answer:

f(5.9)= 15.7

Step-by-step explanation:

f(x) = 3x -2

f(5.9) = 3(5.9) -2

f(5.9) = 17.7 -2

f(5.9) = 15.7

Word Explination

If the (x) in f(x) is replaced by another variable (in this case, a number) any other x seen in the equation is replaced by that variable. For this question, the x in f(x) is replaced by 5.9. And so any other x in this equation needs to be replaced by 5.9 as well. From there on out, you solve.

Answer:

A) 9

Step-by-step explanation:

Edge 2022

In the table below, x represents miles traveled and y represents the cost to travel by train.

Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00

What is the y-intercept of this function?

2.25
4.00
6.50
17.13

Answers

Answer:

4.00

Step-by-step explanation:

Given

x:   2  ,      5   ,     8     , 12

y: 8.50, 15.25, 22.00. 31.00

Required

Determine the y intercept

First, we calculate the slope:

\(m = \frac{y_2- y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (2,8,50)\)

\((x_2,y_2) = (12,31.00)\)

\(m = \frac{31.00 - 8.50}{12 - 2}\)

\(m = \frac{22.5}{10}\)

\(m = 2.25\)

Next, we calculate the equation:

\(y - y_1 = m(x - x_1)\)

Where:

\((x_1,y_1) = (2,8,50)\)      

\(m = 2.25\)

The equation becomes:

\(y - 8.50 = 2.25(x - 2)\)

\(y - 8.50 = 2.25x -4.5\)

Make y the subject

\(y = 2.25x -4.5+8.50\)

\(y = 2.25x +4\)

Take \(x =0\); to get the y intercept

\(y = 2.25*0 +4\)

\(y = 4\)

Hence, the y intercept is 4.00

Answer:

The answer is B

Step-by-step explanation:

What is the average of 89, 91, and 84?

Answers

Answer:

88

Step-by-step explanation:

Use the following formula

Average=Sum/Count

89+91+84=264

264/3

88

Given that
P
=
7
x
+
20

2
y
.
Find
P
when:
x
=
7
and
y
=
10

Answers

Answer:

49 2 will be the answer

Step-by-step explanation:

when will u send me request in fb

Answer:

p = 49

hope it's helpful ❤❤❤❤❤

THANK YOU.

Given that P=7x+202y.Find P when: x=7 and y=10


I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.

Answers

Answer:

-5 + -8 = -13

Step-by-step explanation:

-5 + -8 = -13

in total you owe $13 but seperat it’s $5 and $8.

also you show a debt with Integers by using negative numbers.

Alex has a bucket in the shape of a cylinder. The diameter of the bucket is 12 inches and its height is 11.25 inches. How many buckets would it take ot fill an empty aquarium with 65 gallons of water? Show your work.

Answers

There would be 11 cylindrical buckets required to fill the empty aquarium with 65 gallons.

What is cylinder?

A cylinder is three dimension solid, which has two circular base and which are connected by a curved surface.  

Given that,

The diameter of cylindrical bucket d is 12 inches

so radius r=6 inches

And the height of bucket is 11.25 inches.

Volume of cylinder=π×r^2×h

Let n buckets are required to fill 65 gallons.

Since, 1 gallon = 231 inches,

65×231=n×22/7×6×6×11.25

15015×7=n×22×36×11.25

n=11.79

n=11 (approx.)

11 buckets will be required.

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Let R be the area bounded by a circular arc. x² + y2 = 1 above the x-axis Find the double integral ſf 3/2? +.y? JA using the coordinate transformation to the double integral in the polar coordinate

Answers

To find the double integral of f(x, y) = 3/2x + y² over the region R bounded by the circular arc x² + y² = 1 above the x-axis, we can use a coordinate transformation to convert the integral into polar coordinates.

In polar coordinates, the circular arc x² + y² = 1 corresponds to the equation r = 1, where r is the distance from the origin to a point on the curve. The region R can be represented in polar coordinates as 0 ≤ θ ≤ π, where θ is the angle measured from the positive x-axis to the point on the curve.

To perform the coordinate transformation, we substitute x = rcosθ and y = rsinθ into the integrand f(x, y):

f(x, y) = 3/2x + y²

= 3/2(rcosθ) + (rsinθ)²

= 3/2rcosθ + r²sin²θ.

The Jacobian determinant for the coordinate transformation from (x, y) to (r, θ) is r, so the double integral becomes:

∬R f(x, y) dA = ∫₀ᴨ ∫₀¹ (3/2rcosθ + r²sin²θ) r dr dθ.

Now, we can evaluate the double integral by integrating first with respect to r from 0 to 1, and then with respect to θ from 0 to π. This will give us the value of the integral over the region R bounded by the circular arc x² + y² = 1 above the x-axis.

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Find the unite rate 380 19

Answers

Answer:

i have no clue

thank you so much for the points have a good day and im super sorry

Step-by-step explanation:

6b - 11 = -23 what is b

Answers

Answer:

8b-5=6b+23

8b-6b=23+5

2b=28

b=14

Step-by-step explanation:

You want to get the variable by itself so you add 11 to -23 which is 12 then you divide 12 by 6 and you get b=2.

Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.

Answers

The number of plants Ethan has are 5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Umm please help me wit this problem.

Umm please help me wit this problem.

Answers

Answer:

1.  11

2. 3

Step-by-step explanation:

Hope this helps!! Have An Amazing Day!! Let me know if this is wrong.

HELP!!!Where does the graph of y = sin x from x = 0 to x = 2π start? A. at its minimum B. at an x–intercept C. at its maximum D. between an x–intercept and its maximum

Answers

Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

HELP!!!Where does the graph of y = sin x from x = 0 to x = 2 start? A. at its minimum B. at an xintercept

Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)

Answers

The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.

The simple interest equation that Celo used is A = P(1 + rt).

This is currently used to find the final amount A.

On isolating P to one side of the equation in the following ways:

A = P(1 + rt),

or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.

or, A/(1 + rt) = P {Simplifying}.

or, P = A/(1 + rt) {Changing sides}.

Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.

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The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins

d(t)=1/2t+6

What is the domain
What is the range

Answers

The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).

What are Domain and Range?

Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A  → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.

The domain of the function d(t)=1/2t+6 is given by

Domain: (-∞, ∞), {x|x ∈ R}

The range of the function is given by

Domain: (-∞, ∞) , {y|y ∈ R}

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10. A coordinator at a local fundraiser has 14 volunteers to help out. There will be 3 volunteers working at the entrance door, 4 volunteers helping with the young children and 7 working at the tables with the fundraising activities.

a) In how many ways can the volunteers be assigned? [2]

b) Mary and Martha are new volunteers this year, so they should not be placed together. In how many ways can the volunteers be assigned so that Mary and Martha are not at the same station? [3]

Answers

The combination and permutations computed shows that the number of ways that the volunteers can be assigned is 120120.

How to calculate the combination

From the information given, the number of ways that the volunteers can be assigned will be:

= 14C3 × 11C4 × 7C7.

= (14 × 13 × 12)/6 × (11 × 10 × 9 × 8)/24

= 120120

Also, the number of ways that the volunteers can be assigned so that Mary and Martha are not at the same station will be:

= 12C1 × 11C4 × 7C7

= 12 × 330 × 1

= 3960

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Find the area of a rectangle with base of 2 yd and a height of 5 ft.

Answers

Possible Answers:

30 Square feet                  ⭐⭐⭐⭐⭐

10 Square Yards                ⭐⭐⭐⭐⭐

12960 square inches        ⭐⭐

8.36127 square meters     ⭐

What is the value of the y-intercept of the graph f(x)=17⋅3.2^x ?

What is the value of the y-intercept of the graph f(x)=173.2^x ?

Answers

Answer:

f(0)=17

y-intercept=17

Step-by-step explanation:

Answer:

(0, 17) is the correct answer

Step-by-step explanation:

What is the value of the y-intercept of the graph f(x)=173.2^x ?

x^2 = 49, then x = 7. What would be a counterexample?

Answers

-7^2 is also 49, squares can be positive or negative

What is 8 (z + 8) expanded​

Answers

8

+

6

4                HAVE A GREAT DAY!

What is 8 (z + 8) expanded

What is the conditional probability that, when flipping a non-biased coin four times, there are at least two hs, given that the first flip is a h?

Answers

The conditional probability that, when flipping a non-biased coin four times, there are at least two heads, given that the first flip is a head, is 3/4.

Calculating the Conditional Probability:

Let us assume that getting a head in the first flip of coin is event B

Also, let us assume that getting a head in on of the remaining three flips is A

Then we have to find the probability of A given B, that is, P(A|B).

The formula for conditional probability is given as follows,

P(A|B) = P (A∩B) / P(B)

The probability of getting two heads, P(A∩B) = 3/8

The probability of getting head in the first flip, P(B) = 1/2

∴ P(A|B) = (3/8) / (1/2)

P(A|B) = 3/4

Thus,  the conditional probability of getting at least two heads, given that the first flip is a head is 3/4.

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determine the final price of an item that costs $75 and is 10% off show working

Answers

Answer:

67.5$

Step-by-step explanation:

75$ x .10 = 7.5$

75$ - 7.5$ = 67.5$

Answer:

$67.50

Step-by-step explanation:

First, find the discount.

Multiply the discount rate by the cost.

discount rate * cost

The discount rate is 10% and the cost is $75.

$75 * 10%

Convert 10% to a decimal. Divide 10 by 100 or move the decimal place two spots to the left.

10/100 = 0.10       or         10.0 --> 1.0 --> 0.10

$75 * 0.10

$7.5

Now, find the final price.

Since it is a 10% discount, we must subtract the discount amount from the cost.

cost - discount

The cost is $75 and the discount is $7.5

$75 - $7.5

$67.50

The final price of a item that costs $75 with a 10% discount is $67.50

can someone help me with this please

can someone help me with this please

Answers

Answer:

The triangle is not isoceles, it's equilateral because all the sides are congruent. Isoceles has only 2 congruent sides.

x=4

y=12

Step-by-step explanation:

It's equilateral

5y=60

y=12

5x-6=3x+2

2x=8

x=4

Answer:

y= 12 x=4

Step-by-step explanation:

To find y.

Its an equilateral triangle.

Each angle is 5y.

Therefore 180, (degrees in a triangle) divided by 3, (angles) worth 5y means 180 divided (3x5y) = 180 divided by 15=12.

To find x rearrange 5x-6 = 3x-2 as all sides are the same length.

x=4

Find the length of the third side. If necessary, round to the nearest tenth.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

The length of the third side is \(≈15.7\)

Step-by-step explanation:

Note:

Phitagors theorem:

\(c^{2}=a^{2}+b^{2}\)

\(c: hypotenuse\)

\(a: altitude\)

\(b: base\)

1) Using Phitagors theorem

\(c^{2}=a^{2}+b^{2}\)

\(c^{2}=14^{2}+7^{2}\)

2) Calculate

\(c^{2}=245\)

3) Take the square root of both sides of the equation

\(\sqrt {c^{2}}=\sqrt{245}\)

\(c=\sqrt{245}\)

\(c≈15.7\)

Question
Example
Step by Step
In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.

QuestionExampleStep by StepIn kite ABCD, mZBAE = 28 and mZBCE = 58. Find mLABE.

Answers

Answer:

\(m\angle ABE=52^\circ\)

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

\(m\BAE=28^\circ\)

\(m\BCE=58^\circ\)

We also know

\(BC\cong CD\)

\(AB\cong AD\)

Since triangle BCD is isosceles, it follows that:

\(m\angle CBE=m\angle CDE\)

And triangles BCD and DCE are congruent.

Thus:

\(m\angle BCE=m\angle DCE=58^\circ\)

And also:

\(m\angle BCE=58^\circ+58^\circ=116^\circ\)

Since the sum of internal angles of BCD is 180°

\(m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ\)

The sum of angles of triangle CDE is 180°, thus

\(m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ\)

Angles CED and BEA are vertical (opposite), thus:

\(m\angle BCE=m\angle CED= 90^\circ\)

Finally, since the sum of the angles of triangle ABE is 180°

\(m\angle ABE= 180 - 90 - m\angle BAE\)

\(m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ\)

\(\mathbf{m\angle ABE=52^\circ}\)

at a price of $8 in this diagram, profit per unit is approximately , and total profit is approximately . $2.50; $36 $8.00; $114 $5.00; $60 $5.50; $78

Answers

The profit per bag is approximately $2.50  and the total profit is approximately is $36 , the correct option is (c) .

In the question ,

a graph of relation of price and quantity is given .

Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost

that means P = MC .

price is given as = $8 ,

Form the graph ATC = $5.5

per unit profit can be calculated using the formula ,

Per unit profit = Price - ATC

per unit profit = 8 - 5.5

= $2.5

From the graph , the quantity is Q = 14.4 (approximately)

Total profit is calculated using the formula

Total Profit = (profit per unit) × (quantity)

Total Profit = 2.5 × 14.4

= $36

Therefore , The profit per bag is approximately $2.50  and the total profit is approximately is $36 .

The given question is incomplete , the complete question is

This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is      and the total profit is       .

(a) $5.50 , $78

(b) $5.00 , $60

(c) $2.50 , $36

(d) $8.00 , $114

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at a price of $8 in this diagram, profit per unit is approximately , and total profit is approximately

shaq is 85'' tal he cast a shadow 17''long if stephen curry cast a shadow 15''long how tall is he

Answers

Stephen Curry is 75 inches tall.

How to determine how long he is

Let's call Stephen Curry's height h.

Since the shadow length of Shaq is proportional to his height,

we can write the following ratio:

shadow length of Shaq / Shaq's height = shadow length of Curry / Curry's height

This gives

17'' / 85'' = 15'' / h

Solving for h:

h = 15'' * 85'' / 17'' = 75''

So Stephen Curry is approximately 75 inches tall.

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4. Show that the matrix [XX-X'Z(ZZ)-¹Z'X). where both the x & matrix X and the x matrix Z. have full column rank and m2, is positive definite. Discuss the implications of this result in econometrics.

Answers

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left

Answers

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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what kind of transformation converts the graph of f(x)= -10(x-2)^2 into the graph of g(x)= -2(x-2)^2 what kind of dilation is it? Put these numbers in order from greatest to least.0.24,0.57,0.87, and 3/5 Which of these activities is an example of city planning The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches the liver filters and removes potentially harmful xenobiotics from absorbed nutrients from the small intestine before they get into systemic circulation.truefalse What is the relationship between the rectangular prism and pyramid which have the same height and base? all fourth grade children on long island are given an examination on mathematical achievement. a random sample of 60 fourth graders are selected. their examination results are summarized in the following stem-and-leaf plot. find the sample upper quartile. 646688881133334454456667777666777788888898888889111111111122333332233333445544556677766777899899112232234545 1) I want to go to the department store please help me to circle noun If one pound of force acts through a distance of two feet, one foot-pound of work is done. True False A triangular lawn has sides that are 8 m and 12 m long with an included angle of 49.What is the area of the lawn?Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth I'm stuck pls help me which of the following statements is true? for transient network errors, applications should implement retry logic with exponential backoff and fail gracefully if the errors persist. when rolling out builds to the production environment, consider performing canary testing to perform integration testing before deploying it to production. it is better to re-architect legacy applications in one big release so that engineering teams can focus on new applications. you can review data compliance and sovereignty requirements after you see the source of user traffic at launch. short story about capitalism Watch this video about kipunji monkeys in Africa. If you were a conservationist monitoring the populations of these monkeys, what method would you choose? Explain your reasoning. Read the word problem below. Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current? Which of the following is a clue that would help solve this word problem? The rate of Chans rowing in still water is 8 mph. Chan rows from the house to the park on Wednesday. Chans house is next to a river. The entire trip takes five hours. EXPERT HELP I'LL GIVE BRAINLIEST: what type of nutrient is calcium? (hint: it is the most abundant micronutrient in the human body.) trace mineral water-soluble vitamin fat-soluble vitamin major mineral how does Family Life Education help to solve the family problem Give one example of how studying chemistry could beuseful in everyday life Which expression is equivalent to 4(2.61y 3.08)?A - 10.44y + 3.08B - 10.44y 3.08C - 10.44y + 12.32D - 10.44y 12.32